Keiko is putting money into a savings account. She starts with $$ \$ 650 $$ in the savings account, and each week she adds $$ \$ 70 $$. Let $$ S $$ represent the total amount of money in the savings account (in dollars), and let $$ W $$ represent the number of weeks Keiko has been adding money. Write an equation relating $$ S $$ to $$ W $$. Then use this equation to find the total amount of money in the savings account after 19 weeks. Equation: Total amount of money after 19 weeks:

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UpStudy AI · Accepted Answer

To find the equation relating $$ S $$ (the total amount of money in the savings account) to $$ W $$ (the number of weeks), we can start by considering the initial amount and the amount added each week.

1. **Initial amount**: Keiko starts with $$ 650 $$ dollars.
2. **Amount added each week**: She adds $$ 70 $$ dollars each week.

The total amount $$ S $$ after $$ W $$ weeks can be expressed as:

$$
S = 650 + 70W
$$

Now, we will use this equation to find the total amount of money in the savings account after $$ 19 $$ weeks.

Substituting $$ W = 19 $$ into the equation:

$$
S = 650 + 70 \times 19
$$

Now, we will calculate $$ 70 \times 19 $$:

$$
70 \times 19 = 1330
$$

Now, substituting this back into the equation for $$ S $$:

$$
S = 650 + 1330
$$

Calculating the total:

$$
S = 1980
$$

Thus, the total amount of money in the savings account after $$ 19 $$ weeks is $$ 1980 $$ dollars.

### Summary:
- **Equation**: $$ S = 650 + 70W $$
- **Total amount of money after 19 weeks**: $$ 1980 $$ dollars.
The equation relating $$ S $$ to $$ W $$ is $$ S = 650 + 70W $$. After 19 weeks, the total amount in the savings account is \$1,980.

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